| 关于双曲空间中n维Pedoe不等式及应用 |
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| 引用本文： | 杨世国,王文,潘娟娟,钱娣.关于双曲空间中n维Pedoe不等式及应用[J].数学进展,2012(3):347-355. |
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| 作者姓名： | 杨世国 王文 潘娟娟 钱娣 |
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| 作者单位： | 合肥师范学院数学系和教师教育研究中心;安徽大学数学科学学院 |
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| 基金项目： | 国家自然科学基金项目(No.60671051);安徽省高校省级重点项目(No.KJ2009A45);高等学校博士点专项科研基金项目(No.20113401110009) |
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| 摘 要： | 本文应用距离几何的理论与方法,研究了双曲空间中n维单形的几何不等式问题,建立了双曲空间中涉及两个单形棱长的n维Pedoe不等式和彭-常不等式,由此获得双曲空间n维单形的一些新的不等式.
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| 关 键 词： | 双曲空间 单形 棱长 不等式 |
The n-dimensional Pedoe Inequality in Hyperbolic Space With Applications |
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| YANG Shiguo,WANG Wen,PAN Juanjuan,QIAN Di.The n-dimensional Pedoe Inequality in Hyperbolic Space With Applications[J].Advances in Mathematics,2012(3):347-355. |
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| Authors: | YANG Shiguo WANG Wen PAN Juanjuan QIAN Di |
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| Institution: | 1.Department of Mathematics and Teachers Education Research Center,Hefei Normal University, Hefei,Anhui,230061,P.R.China;2.School of Mathematical Sciences,Anhui University,Hefei,Anhui, 230039,P.R.China) |
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| Abstract: | We use the theory and method of distance geometry to study the problems for n-dimensional simplexes in hyperbolic space.The n-dimensional Pedoe inequality and Peng-Chang’s inequality involving the edge-lengths of two simplexes in hyperbolic space are established. From this we obtain some new inequalities for n-dimensional simplexes in hyperbolic space. |
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| Keywords: | hyperbolic space simplex edge-length inequality |
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